Togekiss puts its wings together and creates a light blue ball of energy. Togekiss then fires it at the opponent, or Togekiss fires multiple light blue balls of energy from the front of its mouth at the opponent.

In the Pokémon Adventures manga

Lucario brings both of its paws forward and a round orb of energy forms in between them. It then fires multiple smaller orbs of energy from the orb at the opponent, or Lucario puts its paws together in front of it and fires a powerful beam of energy from in between them at the opponent.

Trivia

Aura Sphere is mostly recognized for being used by Lucario and the most recognized of the moves that use aura.

Of all the moves which cannot miss, Aura Sphere is one of only three which do not have 60 power, the other two being Vital Throw and Clear Smog. In addition, Aura Sphere is the one with the highest power.